# Congruence preserving expansions of nilpotent algebras

## TL;DR

This paper characterizes certain nilpotent algebras of prime power order that have infinitely many polynomially inequivalent congruence preserving expansions within congruence modular varieties.

## Contribution

It provides a characterization of nilpotent algebras with infinitely many polynomially inequivalent congruence preserving expansions.

## Key findings

- Identifies conditions for infinite polynomially inequivalent expansions
- Focuses on nilpotent algebras of prime power order
- Operates within congruence modular varieties

## Abstract

We characterize those nilpotent algebras of prime power order and finite type in congruence modular varieties that have infinitely many polynomially inequivalent congruence preserving expansions.